Inflationary Cosmological Perturbations of Quantum-Mechanical Origin

  • J. Martin
Chapter
First Online:
Part of the Lecture Notes in Physics book series (LNP, volume 669)

Abstract

This review article aims at presenting the theory of inflation. We first describe the background spacetime behavior during the slow-roll phase and analyze how inflation ends and the Universe reheats. Then, we present the theory of cosmological perturbations with special emphasis on their behavior during inflation. In particular, we discuss the quantum-mechanical nature of the fluctuations and show how the uncertainty principle fixes the amplitude of the perturbations. In a next step, we calculate the inflationary power spectra in the slow-roll approximation and compare these theoretical predictions to the recent high accuracy measurements of the Cosmic Microwave Background radiation (CMBR) anisotropy. We show how these data already constrain the underlying in.ationary high energy physics. Finally, we conclude with some speculations about the trans-Planckian problem, arguing that this issue could allow us to open a window on physical phenomena which have never been probed so far.

Keywords

Gravitational Wave Cosmic Microwave Background Radiation Hubble Parameter Density Perturbation Multipole Moment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Authors and Affiliations

  • J. Martin
    • 1
  1. 1.Institut d'Astrophysique de ParisParisFrance

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